135 LearnersLast updated on May 28th, 2025
Factors of 1593
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1593, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1593?
The numbers that divide 1593 evenly are known as factors of 1593.
A factor of 1593 is a number that divides the number without remainder.
The factors of 1593 are 1, 3, 7, 9, 21, 53, 63, 159, 477, and 1593.
Negative factors of 1593: -1, -3, -7, -9, -21, -53, -63, -159, -477, and -1593.
Prime factors of 1593: 3, 7, and 53.
Prime factorization of 1593: 3 × 3 × 7 × 53 or 3² × 7 × 53.
The sum of factors of 1593: 1 + 3 + 7 + 9 + 21 + 53 + 63 + 159 + 477 + 1593 = 2386.
How to Find Factors of 1593?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1593. Identifying the numbers which are multiplied to get the number 1593 is the multiplication method.
Step 1: Multiply 1593 by 1, 1593 × 1 = 1593.
Step 2: Check for other numbers that give 1593 after multiplying:
3 × 531 = 1593
7 × 227 = 1593
9 × 177 = 1593
21 × 76 = 1593
53 × 30 = 1593
Therefore, the positive factor pairs of 1593 are: (1, 1593), (3, 531), (7, 227), (9, 177), (21, 76), and (53, 30).
All these factor pairs result in 1593.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1593 by 1, 1593 ÷ 1 = 1593.
Step 2: Continue dividing 1593 by the numbers until the remainder becomes 0.
1593 ÷ 1 = 1593
1593 ÷ 3 = 531
1593 ÷ 7 = 227
1593 ÷ 9 = 177
1593 ÷ 21 = 76
1593 ÷ 53 = 30
Therefore, the factors of 1593 are: 1, 3, 7, 9, 21, 53, 63, 159, 477, 1593.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1593 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1593 ÷ 3 = 531
531 ÷ 3 = 177
177 ÷ 3 = 59
59 ÷ 7 = 53
53 ÷ 53 = 1
The prime factors of 1593 are 3, 7, and 53.
The prime factorization of 1593 is: 3² × 7 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1593 is divided by 3 to get 531.
Step 2: Now divide 531 by 3 to get 177.
Step 3: Then divide 177 by 3 to get 59.
Step 4: Divide 59 by 7 to get 53.
Here, 53 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1593 is: 3² × 7 × 53.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1593: (1, 1593), (3, 531), (7, 227), (9, 177), (21, 76), and (53, 30).
Negative factor pairs of 1593: (-1, -1593), (-3, -531), (-7, -227), (-9, -177), (-21, -76), and (-53, -30).
Common Mistakes and How to Avoid Them in Factors of 1593
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1593, 1 and 1593 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 1593 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1593/1.5 = 1062, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1593 are prime numbers.
For example, 3, 7, and 53 are the prime factors of 1593, but it has other factors like 9, 21.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1593 as 3² × 7 × 53 and missing all the key factors.
Factors of 1593 Examples
Problem 1
There are 3 groups of students and 1593 candies. How will they divide it equally?
Each group will get 531 candies.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
1593/3 = 531
Problem 2
A rectangular garden has a length of 53 meters, and the total area is 1593 square meters. Find the width.
30 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1593 = 53 × width
To find the value of width, we need to shift 53 to the left side.
1593/53 = width
Width = 30.
Problem 3
A bakery has 9 trays and 1593 cookies. How many cookies will be on each tray?
Each tray will have 177 cookies.
Explanation
To find the cookies in each tray, divide the total cookies by the number of trays.
1593/9 = 177
Problem 4
In a company, there are 1593 employees, and 21 departments. How many employees are there in each department?
There are 76 employees in each department.
Explanation
Dividing the employees with the total departments, we will get the number of employees in each department.
1593/21 = 76
Problem 5
1593 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 30 books.
Explanation
Divide total books by shelves.
1593/53 = 30
FAQs on Factors of 1593
1.What are the factors of 1593?
2.Mention the prime factors of 1593.
3.Is 1593 a multiple of 7?
4.Mention the factor pairs of 1593?
5.What is the square of 1593?
6.How can children in Canada use numbers in everyday life to understand Factors of 1593?
7.What are some fun ways kids in Canada can practice Factors of 1593 with numbers?
8.What role do numbers and Factors of 1593 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1593 skills?
Important Glossaries for Factors of 1593
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1593 are 1, 3, 7, 9, 21, 53, 63, 159, 477, and 1593.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 53 are prime factors of 1593.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1593 are (1, 1593), (3, 531), etc.
- Prime factorization: The process of representing a number as a product of its prime factors. For example, the prime factorization of 1593 is 3² × 7 × 53.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For instance, using the multiplication method for 1593, we find pairs like (3, 531) and (7, 227).
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About BrightChamps in Canada
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
